Hazard scored in a 4-2 win over Granada that helped Madrid stay at the top of the Spanish league, and allowed him to quieten critics after a series of lackluster performances since joining the club.
Bayern Munich humiliated Tottenham Hotspur 7-2 while Real Madrid came back from 0-2 down to earn a 2-2 draw against Club Brugge in the Champions League.
Real Madrid stayed one point ahead of Atlético and promoted Granada, which defeated Leganés 1-0 to register a fourth win in seven matches.
Zinedine Zidane is looking to his 'B' team to try to keep Madrid in contention in all competitions, resorting to youngsters and players not often used in the main squad.
Zidane also defended his decision to grant the team days off, which sparked controversy following their 3-0 defeat by Paris Saint Germain in their 2019-20 UEFA Champions League opener.
Belgian star Eden Hazard, who joined Real Madrid this summer after seven seasons at Chelsea, revealed the key difference between the supporters of both the clubs.
Karim Benzema scored twice and Casemiro added another goal as Madrid picked up their first win after two consecutive draws in the league.
He was accused of sending pictures with child pornographic content to a recipient in Hamburg via the Whatsapp.
Neymar attracted interest from Barcelona and Real Madrid but the former's move was rejected as it didn't meet the demands of the French outfit.
Joao Felix scored his maiden goal in La Liga as Atletico Madrid earned a comeback 3-2 win over Eibar while Gareth Bale scored twice in Real Madrid's 2-2 draw against Villarreal before being sent off.
It will be tough for PSG after being paired in a group with a Real Madrid side chasing a record-extending 14th European crown.
Speculation has mounted that Keylor Navas will leave the Spanish capital in the coming days, with Paris Saint Germain (PSG) among the frontrunners to sign him.
Isco sustained the injury during Madrid's team practice earlier in the day, as coach Zinedine Zidane's squad is getting for the upcoming La Liga clash at Villarreal.
Colombia's James Rodriguez made his first appearance for Real Madrid in over two years, but Sergi Guardiola's late strike played spoilsport at Santiago Bernabeu.
In the current transfer window, Madrid have bought some talented players like Eden Hazard, Luka Jovic, Eder Militao, Rodrygo and Ferland Mendy.
Madrid was without new signing Eden Hazard because of an injury, and it was Gareth Bale — who many thought would be gone from the squad by now — helped add the spark Madrid needed.
Real Madrid did not give a timeframe for Eden Hazard's recovery, saying it "will continue to be assessed."
Brazilian star Neymar has been left out of PSG's opening game of Ligue 1 amid speculations over his departure from the club.
PSG coach Thomas Tuchel is expected to reveal the roster ahead of its 2019/2020 Ligue 1 opener against Nimes on Sunday. It is not clear if Neymar will be part of the list.
Dominican forward Mariano, who earlier wore the No.7 shirt after Cristiano Ronaldo's departure, will now don 24 at the back of his shirt.
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